Storing your e-liquid is a lot easier than you think. You do not need any special cases or anything a typical house wouldn't have. So let's get into it.
Storing e-liquid with no flavour or Nicotine
E-liquid with no flavour is straight PG (Propylene Glycol) or VG (Vegetable Glycerin). These two are the base to making e-liquid. To store these all you have to do is put them in the freezer. This also applies the nicotine. The freezer helps prolong life of these. DIYers should definitely know this when it comes to making their own e-liquid but if you don't now you do.
Storing e-liquid with flavour
Easiest way to store your e-liquid is to put it in your bottom dresser drawer cause we all know we don't use that that one. Keeping in a dark environment helps keep it from aging as fast. As for temperature cool is nice but room temperature is completely fine. Ideally, for long term storage, you want glass bottles. Also, you want to store it in the dark and away from heat sources. Dark places are best as light can cause degradation to nicotine and some flavors. This can be solved by those amber or blue bottles.
Sometimes you can get e-liquid that is too fresh. If you want to help it age faster put it in sunlight or just keep it from dark areas as much as possible. Just give it some time to age and you can be impressed by what it was supposed to taste like.